AEFE hexadecimal to binary

Here we will show you how to convert the hexadecimal number AEFE to a binary number. First note that the hexadecimal number system has sixteen different digits (0 1 2 3 4 5 6 7 8 9 A B C D E F) and the binary number system has only two different digits (0 and 1).

The four steps used to convert AEFE from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in AEFE by 16⁰, multiply the second to last digit in AEFE by 16¹, multiply the third to last digit in AEFE by 16², multiply the fourth to last digit in AEFE by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
F × 16¹ = 240
E × 16² = 3584
A × 16³ = 40960

Remember that the hexadecimal number system has sixteen different digits, so when doing the above calculation, we use the following values if applicable: A=10, B=11, C=12, D=13, E=14, and F=15.

Step 2)
Next, we add up all the products we got from Step 1, like this:

14 + 240 + 3584 + 40960 = 44798

Step 3)
Now we divide the sum from Step 2 by 2. Put the remainder aside. Then divide the whole part by 2 again, and put the remainder aside again. Keep doing this until the whole part is 0.

44798 ÷ 2 = 22399 with 0 remainder
22399 ÷ 2 = 11199 with 1 remainder
11199 ÷ 2 = 5599 with 1 remainder
5599 ÷ 2 = 2799 with 1 remainder
2799 ÷ 2 = 1399 with 1 remainder
1399 ÷ 2 = 699 with 1 remainder
699 ÷ 2 = 349 with 1 remainder
349 ÷ 2 = 174 with 1 remainder
174 ÷ 2 = 87 with 0 remainder
87 ÷ 2 = 43 with 1 remainder
43 ÷ 2 = 21 with 1 remainder
21 ÷ 2 = 10 with 1 remainder
10 ÷ 2 = 5 with 0 remainder
5 ÷ 2 = 2 with 1 remainder
2 ÷ 2 = 1 with 0 remainder
1 ÷ 2 = 0 with 1 remainder

Step 4)
In the final step, we take the remainders from Step 3 and put them together in reverse order to get our answer to AEFE hexadecimal to binary:

AEFE hexadecimal = 1010111011111110 binary

Hexadecimal to Binary Converter
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AEFF hexadecimal to binary
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